A141791 Primes of the form c(n)-n, where c(n)=n-th composite.

3, 5, 5, 5, 7, 7, 7, 11, 13, 13, 13, 17, 17, 17, 17, 17, 19, 19, 19, 19, 19, 23, 23, 23, 29, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 37, 37, 37, 37, 37, 41, 41, 41, 41, 41, 43, 43, 43, 43, 43, 43, 43, 43, 43, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 53, 59, 59, 59, 59, 59

Offset

1,1

Comments

c(n)=A002808(n).

Entries may be repeated and are shown in order of increasing generator n.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

n=1: c(1)-1=4-1=3=a(1).
n=3: c(3)-3=8-3=5=a(2).
n=4: c(4)-4=9-4=5=a(3).
n=5: c(5)-5=10-5=5=a(4).
n=7: c(7)-7=14-7=7=a(5).

Mathematica

Module[{cmps=Select[Range[300], CompositeQ]}, Select[#[[1]]-#[[2]]&/@ Thread[ {cmps, Range[Length[cmps]]}], PrimeQ]] (* Harvey P. Dale, Jan 15 2020 *)

Crossrefs

Cf. A000040, A051697, A002808.

Sequence in context: A196604 A131506 A113722 * A196158 A290561 A278545

Adjacent sequences: A141788 A141789 A141790 * A141792 A141793 A141794

Keyword

nonn

Author

Juri-Stepan Gerasimov, Sep 13 2008, Feb 15 2009

Extensions

Corrected and extended by R. J. Mathar, Sep 26 2008

Status

approved